Search a number
-
+
8075025 = 335271709
BaseRepresentation
bin11110110011011100010001
3120012020212000
4132303130101
54031400100
6445024213
7125431230
oct36633421
916166760
108075025
114615982
122855069
13189962a
141102b17
15a97900
hex7b3711

8075025 has 48 divisors (see below), whose sum is σ = 16963200. Its totient is φ = 3689280.

The previous prime is 8075009. The next prime is 8075029. The reversal of 8075025 is 5205708.

It is a happy number.

It is not a de Polignac number, because 8075025 - 24 = 8075009 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

8075025 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 8075025.

It is not an unprimeable number, because it can be changed into a prime (8075029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3871 + ... + 5579.

It is an arithmetic number, because the mean of its divisors is an integer number (353400).

Almost surely, 28075025 is an apocalyptic number.

It is an amenable number.

8075025 is an abundant number, since it is smaller than the sum of its proper divisors (8888175).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8075025 is a wasteful number, since it uses less digits than its factorization.

8075025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1735 (or 1724 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 8075025 is about 2841.6588465191. The cubic root of 8075025 is about 200.6232640255.

It can be divided in two parts, 807 and 5025, that added together give a cube (5832 = 183).

The spelling of 8075025 in words is "eight million, seventy-five thousand, twenty-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 63 75 105 135 175 189 225 315 525 675 945 1575 1709 4725 5127 8545 11963 15381 25635 35889 42725 46143 59815 76905 107667 128175 179445 230715 299075 323001 384525 538335 897225 1153575 1615005 2691675 8075025